# High-Frequency Ultrasonic Radiator Power Increase by Means of Summation of Vibrations of Symmetrically Arranged Langevin Transducers

^{*}

## Abstract

**:**

## 1. Introduction

^{2}are known to make it possible to exfoliate emulsions, separate oil from water [3], clean drilling fluids from foreign particles [4], create fine-dispersed mists for spraying homogeneous coatings in the production of electronic (microcircuits and processors), and medical products (coronal stents) [5,6].

^{2}of the piezomaterial for modern materials [13].

## 2. High-Frequency Radiator Design for Power Summation of Symmetrically Arranged Langevin Transducers

## 3. Research of the Radiator’s Functionality and Optimization of Its Design

_{i}—values of vibration amplitudes within the plane of the piezo-disk, μm, A

_{nut}—vibration amplitude in the center of the reflecting element, μm, and k—number of points in the sample. Normalization was carried out according to the vibration amplitude of the reflecting element A

_{nut}.

_{TR}and the minimum asymmetry of vibrations, depending on the ratio M = Dn/Ln. Therefore, the dependences of the transformation coefficient (Figure 6) and the asymmetry of vibrations (NSD) on the diameter at W = 0.27 (Figure 7) were obtained.

## 4. Results of Experimental Research

_{E}= P

_{S}− P

_{G},

_{S}—total power consumption and P

_{G}—power consumption of the electronic generator without a connected radiator, W.

## 5. Conclusions

## Author Contributions

## Funding

## Conflicts of Interest

## References

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**Figure 1.**High-frequency radiator design with increased power and symmetrically arranged Langevin transducers: (1) summator; (2) piezoceramic elements; (3) reflective elements; and (4) connecting pins.

**Figure 2.**Dependence of the piezoelectric transducer transformation coefficient (K

_{TR}= A

_{long}/A

_{nut}) on the ratio (M = Dn/Ln).

**Figure 4.**Modified high-frequency radiator design with increased power and symmetrically arranged Langevin transducers: (1) summator; (2) piezoceramic elements; (3) reflective elements; and (4) connecting pins.

**Figure 6.**Dependence of the transformation coefficient of an ultrasonic radiator with gradual transition (K

_{TR}= A

_{long}/A

_{nut}) on the ratio (M = Dn/Ln).

**Figure 7.**Dependence of the non-uniformity of the vibration amplitude distribution of piezoceramics (σ

_{cer}/A

_{nut}) with radial transition on the ratio (M = Dn/Ln).

**Figure 8.**Vibration amplitude distribution of the ultrasonic radiator at different ratios (W = R1/Dn).

Transducer Type | Frequency, kHz | Vibration Amplitude, μm | Electrical Power, W | Acoustic Power, W | Efficiency, % | Intensity, No More Than, W/cm ^{2} |
---|---|---|---|---|---|---|

Summing | 31.67 | 22 | 1800 | 1200 | 66 | 35 |

Element | Material | Young’s Modulus, E, Pa | Density, ρ, kg/m ^{3} | Poisson’s Ratio, µ |
---|---|---|---|---|

Summator | AA7075 | 7.1 × 10^{10} | 2800 | 0.31 |

Reflecting elements | Steel 1045 | 2 × 10^{11} | 7810 | 2.8 |

Piezoceramic disk | APC-841 | 7.6 × 10^{10} | 7600 | 0.33 |

Transducer Type | Frequency, kHz | Vibration Amplitude, μm | Electrical Power, W | Acoustic Power, W | Efficiency, % | Intensity, No More Than, W/cm ^{2} |
---|---|---|---|---|---|---|

Summing, before optimization | 31.67 | 22 | 1800 | 1200 | 66 | 35 |

Optimized symmetricsumming | 30.05 | 26 | 1850 | 1540 | 78 | 42 |

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**MDPI and ACS Style**

Khmelev, V.N.; Shalunov, A.V.; Nesterov, V.A.; Bochenkov, A.S.
High-Frequency Ultrasonic Radiator Power Increase by Means of Summation of Vibrations of Symmetrically Arranged Langevin Transducers. *Symmetry* **2023**, *15*, 208.
https://doi.org/10.3390/sym15010208

**AMA Style**

Khmelev VN, Shalunov AV, Nesterov VA, Bochenkov AS.
High-Frequency Ultrasonic Radiator Power Increase by Means of Summation of Vibrations of Symmetrically Arranged Langevin Transducers. *Symmetry*. 2023; 15(1):208.
https://doi.org/10.3390/sym15010208

**Chicago/Turabian Style**

Khmelev, Vladimir N., Andrey V. Shalunov, Victor A. Nesterov, and Alexander S. Bochenkov.
2023. "High-Frequency Ultrasonic Radiator Power Increase by Means of Summation of Vibrations of Symmetrically Arranged Langevin Transducers" *Symmetry* 15, no. 1: 208.
https://doi.org/10.3390/sym15010208